Mathematics

Arithmetics and algebra, equations and inequalities, functions, limits and continuity, differentiation and integration, trigonometry and geometry, exponential and logarithmic functions, vectors, sequences and series, programming.

Knowledge

• The candidate has fundamental knowledge on mathematics as a fundament for the technological society of today.
• The candidate has knowledge on mathematical themes which are fundamental for technological disciplines.
• The candidate is familiar with the central methods of the discipline and can define and explain the most important terms within algebra, geometry and the theory of functions.
• The candidate has fundamental knowledge regarding use of digital tools for calculations and visualisation.
• The candidate can explain the term algorithm and is familiar with programming in mathematics.

Skills

• The candidate has solid calculation skills within algebra and has the general foundation in mathematics which qualifies for continuing with an engineering education or an integrated masters program in technology.
• The candidate can solve problems within the following main areas of knowledge: geometry, algebra and theory of functions.
• The candidate can apply mathematical calculation skills to problems from physics.
• The candidate can express him- or herself in a precise way using mathematical notation.
• The candidate can use programming for performing simple numerical calculations.

General competence

• The candidate has the ability of abstract thinking and understanding of how logical and analytical thinking is used within the discipline of mathematics.
• The candidate can reflect upon possible areas of applications for the different main areas of knowledge in the course.
• Using mathematical terms and quantities, the candidate can communicate with others about problems from mathematics and the natural sciences.

Classroom teaching. Work on exercises individually and in groups.